Search a number
-
+
189345893061 = 31319735036959
BaseRepresentation
bin1011000001010111100…
…1010000101011000101
3200002201211200222100010
42300111321100223011
511100240022034221
6222552335340433
716452111351513
oct2602571205305
9602654628303
10189345893061
1173334902a46
1230843681719
1314b16c705a0
14924312d4b3
154dd2e5bc76
hex2c15e50ac5

189345893061 has 64 divisors (see below), whose sum is σ = 290729779200. Its totient is φ = 108643659264.

The previous prime is 189345893057. The next prime is 189345893089. The reversal of 189345893061 is 160398543981.

It is not a de Polignac number, because 189345893061 - 22 = 189345893057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 189345892992 and 189345893010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189345893021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27205300 + ... + 27212258.

It is an arithmetic number, because the mean of its divisors is an integer number (4542652800).

Almost surely, 2189345893061 is an apocalyptic number.

It is an amenable number.

189345893061 is a deficient number, since it is larger than the sum of its proper divisors (101383886139).

189345893061 is a wasteful number, since it uses less digits than its factorization.

189345893061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570.

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 189345893061 in words is "one hundred eighty-nine billion, three hundred forty-five million, eight hundred ninety-three thousand, sixty-one".

Divisors: 1 3 13 19 39 57 73 219 247 503 741 949 1387 1509 2847 4161 6539 6959 9557 18031 19617 20877 28671 36719 54093 90467 110157 124241 132221 271401 372723 396663 477347 508007 697661 1432041 1524021 1718873 2092983 3500377 5156619 6604091 9069593 9652133 10501131 19812273 27208779 28956399 45504901 66507163 125477729 136514703 199521489 255527521 376433187 766582563 864593119 2593779357 3321857773 4855022899 9965573319 14565068697 63115297687 189345893061